Dust acoustic shock waves in plasmas with strongly coupled dusts and superthermal ions

2011 ◽  
Vol 89 (2) ◽  
pp. 193-200 ◽  
Author(s):  
Hamid Reza Pakzad

The reductive perturbation method is used for deriving the Kordeweg–de Vries–Burgers (KdVB) equation in strongly coupled dusty plasmas, containing Boltzmann distributed electron and superthermal ions. We discuss the shock wave solutions and also study the effect of superthermal ions on the waves.

2012 ◽  
Vol 90 (7) ◽  
pp. 675-681 ◽  
Author(s):  
E.I. El-Awady ◽  
M. Djebli

The nonlinear features of dust-acoustic waves in a strongly coupled unmagnetized dusty plasma containing electrons and ions following q-nonextensive distribution, and negatively charged mobile dust are investigated by using the reductive perturbation method. The effects of important parameters, such as the q-parameter, temperature, density, and velocity on the properties of solitary and shock waves are discussed. The conditions for the formation of solitary structures and monotonic and oscillatory shock structures are also found. The implications of our result in space and laboratory dusty plasmas are discussed.


2011 ◽  
Vol 89 (10) ◽  
pp. 1073-1078 ◽  
Author(s):  
Hamid Reza Pakzad

The reductive perturbation method is used to derive the Kordeweg – de Vries – Burgers equation in strongly coupled dusty plasmas containing Boltzmann distributed ions and q-nonextensive electrons. It is observed that the nonlinear propagation of the dust acoustic waves gives rise to shock structures when there is strong correlation among the dust grains. The effect of the q-nonextensive parameter on the shock waves is discussed.


2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
Abeer A. Mahmoud ◽  
Essam M. Abulwafa ◽  
Abd-alrahman F. Al-Araby ◽  
Atalla M. Elhanbaly

The presence and propagation of dust-acoustic solitary waves in dusty plasma contains four components such as negative and positive dust species beside ions and electrons are studied. Both the ions and electrons distributions are represented applying nonextensive formula. Employing the reductive perturbation method, an evolution equation is derived to describe the small-amplitude dust-acoustic solitons in the considered plasma system. The used reductive perturbation stretches lead to the nonlinear KdV and modified KdV equations with nonlinear and dispersion coefficients that depend on the parameters of the plasma. This study represents that the presence of compressive or/and rarefactive solitary waves depends mainly on the value of the first-order nonlinear coefficient. The structure of envelope wave is undefined for first-order nonlinear coefficient tends to vanish. The coexistence of the two types of solitary waves appears by increasing the strength of nonlinearity to the second order using the modified KdV equation.


2007 ◽  
Vol 73 (6) ◽  
pp. 921-932 ◽  
Author(s):  
TARSEM SINGH GILL ◽  
CHANCHAL BEDI ◽  
NARESHPAL SINGH SAINI ◽  
HARVINDER KAUR

AbstractIn the present research paper, the characteristics of dust-acoustic solitary waves (DASWs) and double layers (DLs) are studied. Ions are treated as non-thermal and variable dust charge is considered. The Korteweg–de Vries equation is derived using a reductive perturbation method. It is noticed that compressive solitons are obtained up to a certain range of relative density δ (=ni0/ne0) beyond which rarefactive solitons are observed. The study is further extended to investigate the possibility of DLs. Only compressive DLs are permissible. Both DASWs and DLs are sensitive to variation of the non-thermal parameter.


2014 ◽  
Vol 89 (4) ◽  
Author(s):  
S. E. Cousens ◽  
V. V. Yaroshenko ◽  
S. Sultana ◽  
M. A. Hellberg ◽  
F. Verheest ◽  
...  

1997 ◽  
Vol 56 (6) ◽  
pp. 7166-7173 ◽  
Author(s):  
M. Rosenberg ◽  
G. Kalman

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